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1 /* |
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2 |
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3 Copyright (C) 1996, 1997 John W. Eaton |
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4 |
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5 This file is part of Octave. |
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6 |
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7 Octave is free software; you can redistribute it and/or modify it |
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8 under the terms of the GNU General Public License as published by the |
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9 Free Software Foundation; either version 2, or (at your option) any |
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10 later version. |
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11 |
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12 Octave is distributed in the hope that it will be useful, but WITHOUT |
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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15 for more details. |
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16 |
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17 You should have received a copy of the GNU General Public License |
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18 along with Octave; see the file COPYING. If not, write to the Free |
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19 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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20 |
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21 */ |
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22 |
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240
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23 #ifdef HAVE_CONFIG_H |
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1192
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24 #include <config.h> |
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25 #endif |
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26 |
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1343
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27 #include <cassert> |
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1580
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28 #include <climits> |
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1343
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29 |
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1352
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30 #include "CColVector.h" |
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453
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31 #include "CDiagMatrix.h" |
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1352
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32 #include "CMatrix.h" |
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453
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33 #include "EIG.h" |
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1352
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34 #include "dDiagMatrix.h" |
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35 #include "dMatrix.h" |
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1651
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36 #include "oct-cmplx.h" |
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1352
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37 |
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38 #include "error.h" |
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2365
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39 #include "ov.h" |
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1567
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40 #include "utils.h" |
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1352
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41 #include "xpow.h" |
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1
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42 |
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1567
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43 static inline int |
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44 xisint (double x) |
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45 { |
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46 return (D_NINT (x) == x |
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47 && ((x >= 0 && x < INT_MAX) |
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48 || (x <= 0 && x > INT_MIN))); |
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49 } |
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50 |
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767
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51 // Safer pow functions. |
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52 // |
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53 // op2 \ op1: s m cs cm |
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54 // +-- +---+---+----+----+ |
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55 // scalar | | 1 | 5 | 7 | 11 | |
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56 // +---+---+----+----+ |
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2365
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57 // matrix | 2 | * | 8 | * | |
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767
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58 // +---+---+----+----+ |
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59 // complex_scalar | 3 | 6 | 9 | 12 | |
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60 // +---+---+----+----+ |
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2365
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61 // complex_matrix | 4 | * | 10 | * | |
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767
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62 // +---+---+----+----+ |
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1
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63 |
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767
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64 // -*- 1 -*- |
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2086
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65 octave_value |
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1
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66 xpow (double a, double b) |
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67 { |
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2800
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68 if (a < 0.0 && static_cast<int> (b) != b) |
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1
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69 { |
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70 Complex atmp (a); |
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1567
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71 return pow (atmp, b); |
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1
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72 } |
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73 else |
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1567
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74 return pow (a, b); |
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1
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75 } |
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76 |
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767
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77 // -*- 2 -*- |
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2086
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78 octave_value |
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164
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79 xpow (double a, const Matrix& b) |
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1
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80 { |
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81 octave_value retval; |
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1
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82 |
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83 int nr = b.rows (); |
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2365
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84 int nc = b.cols (); |
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1
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85 |
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86 if (nr == 0 || nc == 0 || nr != nc) |
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87 error ("for x^A, A must be square"); |
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88 else |
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89 { |
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90 EIG b_eig (b); |
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91 ComplexColumnVector lambda (b_eig.eigenvalues ()); |
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92 ComplexMatrix Q (b_eig.eigenvectors ()); |
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93 |
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94 for (int i = 0; i < nr; i++) |
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95 { |
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2305
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96 Complex elt = lambda (i); |
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97 if (imag (elt) == 0.0) |
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98 lambda (i) = pow (a, real (elt)); |
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1
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99 else |
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100 lambda (i) = pow (a, elt); |
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1
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101 } |
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102 ComplexDiagMatrix D (lambda); |
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103 |
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104 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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1
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105 } |
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106 |
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107 return retval; |
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108 } |
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109 |
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767
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110 // -*- 3 -*- |
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111 octave_value |
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164
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112 xpow (double a, const Complex& b) |
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1
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113 { |
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114 Complex result; |
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115 Complex atmp (a); |
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116 result = pow (atmp, b); |
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117 return result; |
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1
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118 } |
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119 |
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767
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120 // -*- 4 -*- |
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121 octave_value |
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164
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122 xpow (double a, const ComplexMatrix& b) |
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1
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123 { |
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124 octave_value retval; |
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1
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125 |
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126 int nr = b.rows (); |
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127 int nc = b.cols (); |
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128 |
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129 if (nr == 0 || nc == 0 || nr != nc) |
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130 error ("for x^A, A must be square"); |
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1
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131 else |
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132 { |
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133 EIG b_eig (b); |
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134 ComplexColumnVector lambda (b_eig.eigenvalues ()); |
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135 ComplexMatrix Q (b_eig.eigenvectors ()); |
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136 |
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137 for (int i = 0; i < nr; i++) |
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138 { |
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139 Complex elt = lambda (i); |
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140 if (imag (elt) == 0.0) |
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141 lambda (i) = pow (a, real (elt)); |
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142 else |
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143 lambda (i) = pow (a, elt); |
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1
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144 } |
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145 ComplexDiagMatrix D (lambda); |
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146 |
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147 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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1
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148 } |
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149 |
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150 return retval; |
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151 } |
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152 |
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767
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153 // -*- 5 -*- |
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154 octave_value |
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164
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155 xpow (const Matrix& a, double b) |
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1
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156 { |
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157 octave_value retval; |
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1
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158 |
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159 int nr = a.rows (); |
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160 int nc = a.cols (); |
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1
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161 |
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162 if (nr == 0 || nc == 0 || nr != nc) |
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163 error ("for A^b, A must be square"); |
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164 else |
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1
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165 { |
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2800
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166 if (static_cast<int> (b) == b) |
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1
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167 { |
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168 int btmp = static_cast<int> (b); |
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169 if (btmp == 0) |
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170 { |
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171 retval = DiagMatrix (nr, nr, 1.0); |
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172 } |
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173 else |
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174 { |
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175 // Too much copying? |
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176 // XXX FIXME XXX -- we shouldn't do this if the exponent is |
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177 // large... |
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178 |
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179 Matrix atmp; |
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180 if (btmp < 0) |
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181 { |
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182 btmp = -btmp; |
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183 |
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184 int info; |
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185 double rcond = 0.0; |
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186 |
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187 atmp = a.inverse (info, rcond, 1); |
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188 |
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189 if (info == -1) |
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190 warning ("inverse: matrix singular to machine\ |
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191 precision, rcond = %g", rcond); |
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192 } |
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193 else |
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194 atmp = a; |
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195 |
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196 Matrix result (atmp); |
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197 for (int i = 1; i < btmp; i++) |
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198 result = result * atmp; |
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199 |
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200 retval = result; |
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201 } |
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202 } |
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203 else |
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204 { |
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205 EIG a_eig (a); |
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206 ComplexColumnVector lambda (a_eig.eigenvalues ()); |
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207 ComplexMatrix Q (a_eig.eigenvectors ()); |
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208 |
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209 for (int i = 0; i < nr; i++) |
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210 lambda (i) = pow (lambda (i), b); |
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211 |
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212 ComplexDiagMatrix D (lambda); |
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213 |
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214 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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215 } |
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216 } |
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217 |
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218 return retval; |
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219 } |
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220 |
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221 // -*- 6 -*- |
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222 octave_value |
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223 xpow (const Matrix& a, const Complex& b) |
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224 { |
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225 octave_value retval; |
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1
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226 |
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227 int nr = a.rows (); |
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228 int nc = a.cols (); |
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229 |
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230 if (nr == 0 || nc == 0 || nr != nc) |
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231 error ("for A^b, A must be square"); |
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1
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232 else |
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233 { |
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234 EIG a_eig (a); |
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235 ComplexColumnVector lambda (a_eig.eigenvalues ()); |
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236 ComplexMatrix Q (a_eig.eigenvectors ()); |
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237 |
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238 for (int i = 0; i < nr; i++) |
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239 lambda (i) = pow (lambda (i), b); |
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240 |
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241 ComplexDiagMatrix D (lambda); |
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242 |
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243 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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244 } |
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245 |
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246 return retval; |
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247 } |
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248 |
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767
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249 // -*- 7 -*- |
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250 octave_value |
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164
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251 xpow (const Complex& a, double b) |
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1
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252 { |
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253 Complex result; |
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254 |
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255 if (xisint (b)) |
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256 result = pow (a, static_cast<int> (b)); |
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257 else |
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258 result = pow (a, b); |
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259 |
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260 return result; |
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1
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261 } |
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262 |
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767
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263 // -*- 8 -*- |
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2086
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264 octave_value |
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164
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265 xpow (const Complex& a, const Matrix& b) |
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1
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266 { |
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2086
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267 octave_value retval; |
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1
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268 |
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269 int nr = b.rows (); |
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270 int nc = b.cols (); |
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1
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271 |
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272 if (nr == 0 || nc == 0 || nr != nc) |
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2365
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273 error ("for x^A, A must be square"); |
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1
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274 else |
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275 { |
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276 EIG b_eig (b); |
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277 ComplexColumnVector lambda (b_eig.eigenvalues ()); |
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278 ComplexMatrix Q (b_eig.eigenvectors ()); |
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279 |
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280 for (int i = 0; i < nr; i++) |
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281 { |
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282 Complex elt = lambda (i); |
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1
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283 if (imag (elt) == 0.0) |
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284 lambda (i) = pow (a, real (elt)); |
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285 else |
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286 lambda (i) = pow (a, elt); |
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1
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287 } |
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288 ComplexDiagMatrix D (lambda); |
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289 |
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290 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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1
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291 } |
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292 |
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293 return retval; |
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294 } |
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295 |
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767
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296 // -*- 9 -*- |
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2086
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297 octave_value |
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164
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298 xpow (const Complex& a, const Complex& b) |
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1
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299 { |
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300 Complex result; |
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301 result = pow (a, b); |
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1567
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302 return result; |
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1
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303 } |
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304 |
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767
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305 // -*- 10 -*- |
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2086
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306 octave_value |
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164
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307 xpow (const Complex& a, const ComplexMatrix& b) |
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1
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308 { |
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2086
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309 octave_value retval; |
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1
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310 |
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311 int nr = b.rows (); |
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2365
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312 int nc = b.cols (); |
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1
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313 |
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314 if (nr == 0 || nc == 0 || nr != nc) |
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2365
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315 error ("for x^A, A must be square"); |
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1
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316 else |
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317 { |
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318 EIG b_eig (b); |
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319 ComplexColumnVector lambda (b_eig.eigenvalues ()); |
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320 ComplexMatrix Q (b_eig.eigenvectors ()); |
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321 |
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322 for (int i = 0; i < nr; i++) |
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323 { |
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2305
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324 Complex elt = lambda (i); |
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1
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325 if (imag (elt) == 0.0) |
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2305
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326 lambda (i) = pow (a, real (elt)); |
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1
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327 else |
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2305
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328 lambda (i) = pow (a, elt); |
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1
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329 } |
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330 ComplexDiagMatrix D (lambda); |
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331 |
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332 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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1
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333 } |
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334 |
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335 return retval; |
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336 } |
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337 |
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767
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338 // -*- 11 -*- |
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2086
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339 octave_value |
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164
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340 xpow (const ComplexMatrix& a, double b) |
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1
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341 { |
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2086
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342 octave_value retval; |
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1
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343 |
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344 int nr = a.rows (); |
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2365
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345 int nc = a.cols (); |
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1
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346 |
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347 if (nr == 0 || nc == 0 || nr != nc) |
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2365
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348 error ("for A^b, A must be square"); |
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1567
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349 else |
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1
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350 { |
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2800
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351 if (static_cast<int> (b) == b) |
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1
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352 { |
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2804
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353 int btmp = static_cast<int> (b); |
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1567
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354 if (btmp == 0) |
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355 { |
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356 retval = DiagMatrix (nr, nr, 1.0); |
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357 } |
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358 else |
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359 { |
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360 // Too much copying? |
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361 // XXX FIXME XXX -- we shouldn't do this if the exponent is |
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362 // large... |
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363 |
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364 ComplexMatrix atmp; |
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365 if (btmp < 0) |
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366 { |
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367 btmp = -btmp; |
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368 |
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369 int info; |
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370 double rcond = 0.0; |
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371 |
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1656
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372 atmp = a.inverse (info, rcond, 1); |
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1655
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373 |
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374 if (info == -1) |
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375 warning ("inverse: matrix singular to machine\ |
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376 precision, rcond = %g", rcond); |
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1567
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377 } |
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378 else |
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379 atmp = a; |
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380 |
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381 ComplexMatrix result (atmp); |
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382 for (int i = 1; i < btmp; i++) |
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383 result = result * atmp; |
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384 |
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385 retval = result; |
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386 } |
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1
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387 } |
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388 else |
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389 { |
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1567
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390 EIG a_eig (a); |
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391 ComplexColumnVector lambda (a_eig.eigenvalues ()); |
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392 ComplexMatrix Q (a_eig.eigenvectors ()); |
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393 |
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394 for (int i = 0; i < nr; i++) |
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2305
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395 lambda (i) = pow (lambda (i), b); |
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1567
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396 |
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397 ComplexDiagMatrix D (lambda); |
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398 |
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399 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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400 } |
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401 } |
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1358
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402 |
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1567
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403 return retval; |
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404 } |
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1
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405 |
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1567
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406 // -*- 12 -*- |
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2086
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407 octave_value |
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1567
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408 xpow (const ComplexMatrix& a, const Complex& b) |
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409 { |
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2086
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410 octave_value retval; |
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1
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411 |
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1567
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412 int nr = a.rows (); |
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2365
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413 int nc = a.cols (); |
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1567
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414 |
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415 if (nr == 0 || nc == 0 || nr != nc) |
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2365
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416 error ("for A^b, A must be square"); |
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1
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417 else |
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418 { |
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419 EIG a_eig (a); |
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420 ComplexColumnVector lambda (a_eig.eigenvalues ()); |
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421 ComplexMatrix Q (a_eig.eigenvectors ()); |
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422 |
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423 for (int i = 0; i < nr; i++) |
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2305
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424 lambda (i) = pow (lambda (i), b); |
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1
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425 |
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426 ComplexDiagMatrix D (lambda); |
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427 |
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1567
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428 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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1
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429 } |
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430 |
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431 return retval; |
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432 } |
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433 |
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767
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434 // Safer pow functions that work elementwise for matrices. |
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435 // |
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436 // op2 \ op1: s m cs cm |
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|
437 // +-- +---+---+----+----+ |
|
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438 // scalar | | * | 3 | * | 9 | |
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439 // +---+---+----+----+ |
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440 // matrix | 1 | 4 | 7 | 10 | |
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441 // +---+---+----+----+ |
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442 // complex_scalar | * | 5 | * | 11 | |
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443 // +---+---+----+----+ |
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444 // complex_matrix | 2 | 6 | 8 | 12 | |
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445 // +---+---+----+----+ |
|
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446 // |
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447 // * -> not needed. |
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1
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448 |
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3162
|
449 // XXX FIXME XXX -- these functions need to be fixed so that things |
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450 // like |
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451 // |
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452 // a = -1; b = [ 0, 0.5, 1 ]; r = a .^ b |
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453 // |
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454 // and |
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455 // |
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456 // a = -1; b = [ 0, 0.5, 1 ]; for i = 1:3, r(i) = a .^ b(i), end |
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457 // |
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458 // produce identical results. Also, it would be nice if -1^0.5 |
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459 // produced a pure imaginary result instead of a complex number with a |
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|
460 // small real part. But perhaps that's really a problem with the math |
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|
461 // library... |
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462 |
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767
|
463 // -*- 1 -*- |
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2086
|
464 octave_value |
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164
|
465 elem_xpow (double a, const Matrix& b) |
|
1
|
466 { |
|
2086
|
467 octave_value retval; |
|
1
|
468 |
|
|
469 int nr = b.rows (); |
|
2365
|
470 int nc = b.cols (); |
|
1
|
471 |
|
3162
|
472 double d1, d2; |
|
1358
|
473 |
|
3162
|
474 if (a < 0.0 && ! b.all_integers (d1, d2)) |
|
1
|
475 { |
|
|
476 Complex atmp (a); |
|
|
477 ComplexMatrix result (nr, nc); |
|
|
478 for (int j = 0; j < nc; j++) |
|
|
479 for (int i = 0; i < nr; i++) |
|
2305
|
480 result (i, j) = pow (atmp, b (i, j)); |
|
1
|
481 |
|
1567
|
482 retval = result; |
|
1
|
483 } |
|
|
484 else |
|
|
485 { |
|
|
486 Matrix result (nr, nc); |
|
|
487 for (int j = 0; j < nc; j++) |
|
|
488 for (int i = 0; i < nr; i++) |
|
2305
|
489 result (i, j) = pow (a, b (i, j)); |
|
1
|
490 |
|
1567
|
491 retval = result; |
|
1
|
492 } |
|
|
493 |
|
|
494 return retval; |
|
|
495 } |
|
|
496 |
|
767
|
497 // -*- 2 -*- |
|
2086
|
498 octave_value |
|
164
|
499 elem_xpow (double a, const ComplexMatrix& b) |
|
1
|
500 { |
|
|
501 int nr = b.rows (); |
|
2365
|
502 int nc = b.cols (); |
|
1
|
503 |
|
|
504 ComplexMatrix result (nr, nc); |
|
3125
|
505 Complex atmp (a); |
|
1
|
506 for (int j = 0; j < nc; j++) |
|
|
507 for (int i = 0; i < nr; i++) |
|
3125
|
508 result (i, j) = pow (atmp, b (i, j)); |
|
1
|
509 |
|
1567
|
510 return result; |
|
1
|
511 } |
|
|
512 |
|
767
|
513 // -*- 3 -*- |
|
2086
|
514 octave_value |
|
164
|
515 elem_xpow (const Matrix& a, double b) |
|
1
|
516 { |
|
2086
|
517 octave_value retval; |
|
1
|
518 |
|
|
519 int nr = a.rows (); |
|
2365
|
520 int nc = a.cols (); |
|
1
|
521 |
|
2800
|
522 if (static_cast<int> (b) != b && a.any_element_is_negative ()) |
|
1
|
523 { |
|
|
524 ComplexMatrix result (nr, nc); |
|
|
525 for (int j = 0; j < nc; j++) |
|
|
526 for (int i = 0; i < nr; i++) |
|
|
527 { |
|
2305
|
528 Complex atmp (a (i, j)); |
|
|
529 result (i, j) = pow (atmp, b); |
|
1
|
530 } |
|
|
531 |
|
1567
|
532 retval = result; |
|
1
|
533 } |
|
|
534 else |
|
|
535 { |
|
|
536 Matrix result (nr, nc); |
|
|
537 for (int j = 0; j < nc; j++) |
|
|
538 for (int i = 0; i < nr; i++) |
|
2305
|
539 result (i, j) = pow (a (i, j), b); |
|
1
|
540 |
|
1567
|
541 retval = result; |
|
1
|
542 } |
|
|
543 |
|
|
544 return retval; |
|
|
545 } |
|
|
546 |
|
767
|
547 // -*- 4 -*- |
|
2086
|
548 octave_value |
|
164
|
549 elem_xpow (const Matrix& a, const Matrix& b) |
|
1
|
550 { |
|
2086
|
551 octave_value retval; |
|
1567
|
552 |
|
1
|
553 int nr = a.rows (); |
|
2365
|
554 int nc = a.cols (); |
|
|
555 |
|
|
556 int b_nr = b.rows (); |
|
|
557 int b_nc = b.cols (); |
|
1
|
558 |
|
2365
|
559 if (nr != b_nr || nc != b_nc) |
|
|
560 { |
|
|
561 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc); |
|
|
562 return octave_value (); |
|
|
563 } |
|
1
|
564 |
|
|
565 int convert_to_complex = 0; |
|
|
566 for (int j = 0; j < nc; j++) |
|
1321
|
567 for (int i = 0; i < nr; i++) |
|
1
|
568 { |
|
2305
|
569 double atmp = a (i, j); |
|
|
570 double btmp = b (i, j); |
|
2800
|
571 if (atmp < 0.0 && static_cast<int> (btmp) != btmp) |
|
1
|
572 { |
|
|
573 convert_to_complex = 1; |
|
|
574 goto done; |
|
|
575 } |
|
|
576 } |
|
|
577 |
|
2365
|
578 done: |
|
1
|
579 |
|
|
580 if (convert_to_complex) |
|
|
581 { |
|
|
582 ComplexMatrix complex_result (nr, nc); |
|
|
583 |
|
1321
|
584 for (int j = 0; j < nc; j++) |
|
|
585 for (int i = 0; i < nr; i++) |
|
1
|
586 { |
|
2305
|
587 Complex atmp (a (i, j)); |
|
|
588 Complex btmp (b (i, j)); |
|
|
589 complex_result (i, j) = pow (atmp, btmp); |
|
1
|
590 } |
|
1567
|
591 |
|
|
592 retval = complex_result; |
|
1
|
593 } |
|
|
594 else |
|
|
595 { |
|
|
596 Matrix result (nr, nc); |
|
|
597 |
|
1321
|
598 for (int j = 0; j < nc; j++) |
|
|
599 for (int i = 0; i < nr; i++) |
|
2305
|
600 result (i, j) = pow (a (i, j), b (i, j)); |
|
1
|
601 |
|
1567
|
602 retval = result; |
|
1
|
603 } |
|
1567
|
604 |
|
|
605 return retval; |
|
1
|
606 } |
|
|
607 |
|
767
|
608 // -*- 5 -*- |
|
2086
|
609 octave_value |
|
164
|
610 elem_xpow (const Matrix& a, const Complex& b) |
|
1
|
611 { |
|
|
612 int nr = a.rows (); |
|
2365
|
613 int nc = a.cols (); |
|
1
|
614 |
|
|
615 ComplexMatrix result (nr, nc); |
|
|
616 for (int j = 0; j < nc; j++) |
|
|
617 for (int i = 0; i < nr; i++) |
|
3125
|
618 result (i, j) = pow (Complex (a (i, j)), b); |
|
1
|
619 |
|
1567
|
620 return result; |
|
1
|
621 } |
|
|
622 |
|
767
|
623 // -*- 6 -*- |
|
2086
|
624 octave_value |
|
164
|
625 elem_xpow (const Matrix& a, const ComplexMatrix& b) |
|
1
|
626 { |
|
|
627 int nr = a.rows (); |
|
2365
|
628 int nc = a.cols (); |
|
|
629 |
|
|
630 int b_nr = b.rows (); |
|
|
631 int b_nc = b.cols (); |
|
1
|
632 |
|
2365
|
633 if (nr != b_nr || nc != b_nc) |
|
|
634 { |
|
|
635 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc); |
|
|
636 return octave_value (); |
|
|
637 } |
|
1
|
638 |
|
|
639 ComplexMatrix result (nr, nc); |
|
|
640 for (int j = 0; j < nc; j++) |
|
|
641 for (int i = 0; i < nr; i++) |
|
3125
|
642 result (i, j) = pow (Complex (a (i, j)), b (i, j)); |
|
1
|
643 |
|
1567
|
644 return result; |
|
1
|
645 } |
|
|
646 |
|
767
|
647 // -*- 7 -*- |
|
2086
|
648 octave_value |
|
164
|
649 elem_xpow (const Complex& a, const Matrix& b) |
|
1
|
650 { |
|
|
651 int nr = b.rows (); |
|
2365
|
652 int nc = b.cols (); |
|
1
|
653 |
|
|
654 ComplexMatrix result (nr, nc); |
|
|
655 for (int j = 0; j < nc; j++) |
|
|
656 for (int i = 0; i < nr; i++) |
|
1567
|
657 { |
|
2305
|
658 double btmp = b (i, j); |
|
1567
|
659 if (xisint (btmp)) |
|
2800
|
660 result (i, j) = pow (a, static_cast<int> (btmp)); |
|
1567
|
661 else |
|
2305
|
662 result (i, j) = pow (a, btmp); |
|
1567
|
663 } |
|
1
|
664 |
|
1567
|
665 return result; |
|
1
|
666 } |
|
|
667 |
|
767
|
668 // -*- 8 -*- |
|
2086
|
669 octave_value |
|
164
|
670 elem_xpow (const Complex& a, const ComplexMatrix& b) |
|
1
|
671 { |
|
|
672 int nr = b.rows (); |
|
2365
|
673 int nc = b.cols (); |
|
1
|
674 |
|
|
675 ComplexMatrix result (nr, nc); |
|
|
676 for (int j = 0; j < nc; j++) |
|
|
677 for (int i = 0; i < nr; i++) |
|
2305
|
678 result (i, j) = pow (a, b (i, j)); |
|
1
|
679 |
|
1567
|
680 return result; |
|
1
|
681 } |
|
|
682 |
|
767
|
683 // -*- 9 -*- |
|
2086
|
684 octave_value |
|
164
|
685 elem_xpow (const ComplexMatrix& a, double b) |
|
1
|
686 { |
|
|
687 int nr = a.rows (); |
|
2365
|
688 int nc = a.cols (); |
|
1
|
689 |
|
|
690 ComplexMatrix result (nr, nc); |
|
|
691 |
|
1567
|
692 if (xisint (b)) |
|
|
693 { |
|
|
694 for (int j = 0; j < nc; j++) |
|
|
695 for (int i = 0; i < nr; i++) |
|
2800
|
696 result (i, j) = pow (a (i, j), static_cast<int> (b)); |
|
1567
|
697 } |
|
|
698 else |
|
|
699 { |
|
|
700 for (int j = 0; j < nc; j++) |
|
|
701 for (int i = 0; i < nr; i++) |
|
2305
|
702 result (i, j) = pow (a (i, j), b); |
|
1567
|
703 } |
|
|
704 |
|
|
705 return result; |
|
1
|
706 } |
|
|
707 |
|
767
|
708 // -*- 10 -*- |
|
2086
|
709 octave_value |
|
164
|
710 elem_xpow (const ComplexMatrix& a, const Matrix& b) |
|
1
|
711 { |
|
|
712 int nr = a.rows (); |
|
2365
|
713 int nc = a.cols (); |
|
|
714 |
|
|
715 int b_nr = b.rows (); |
|
|
716 int b_nc = b.cols (); |
|
1
|
717 |
|
2365
|
718 if (nr != b_nr || nc != b_nc) |
|
|
719 { |
|
|
720 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc); |
|
|
721 return octave_value (); |
|
|
722 } |
|
1
|
723 |
|
|
724 ComplexMatrix result (nr, nc); |
|
|
725 for (int j = 0; j < nc; j++) |
|
|
726 for (int i = 0; i < nr; i++) |
|
1567
|
727 { |
|
2305
|
728 double btmp = b (i, j); |
|
1567
|
729 if (xisint (btmp)) |
|
2800
|
730 result (i, j) = pow (a (i, j), static_cast<int> (btmp)); |
|
1567
|
731 else |
|
2305
|
732 result (i, j) = pow (a (i, j), btmp); |
|
1567
|
733 } |
|
1
|
734 |
|
1567
|
735 return result; |
|
1
|
736 } |
|
|
737 |
|
767
|
738 // -*- 11 -*- |
|
2086
|
739 octave_value |
|
164
|
740 elem_xpow (const ComplexMatrix& a, const Complex& b) |
|
1
|
741 { |
|
|
742 int nr = a.rows (); |
|
2365
|
743 int nc = a.cols (); |
|
1
|
744 |
|
|
745 ComplexMatrix result (nr, nc); |
|
|
746 for (int j = 0; j < nc; j++) |
|
|
747 for (int i = 0; i < nr; i++) |
|
2305
|
748 result (i, j) = pow (a (i, j), b); |
|
1
|
749 |
|
1567
|
750 return result; |
|
1
|
751 } |
|
|
752 |
|
767
|
753 // -*- 12 -*- |
|
2086
|
754 octave_value |
|
164
|
755 elem_xpow (const ComplexMatrix& a, const ComplexMatrix& b) |
|
1
|
756 { |
|
|
757 int nr = a.rows (); |
|
2365
|
758 int nc = a.cols (); |
|
|
759 |
|
|
760 int b_nr = b.rows (); |
|
|
761 int b_nc = b.cols (); |
|
|
762 |
|
|
763 if (nr != b_nr || nc != b_nc) |
|
|
764 { |
|
|
765 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc); |
|
|
766 return octave_value (); |
|
|
767 } |
|
1
|
768 |
|
|
769 ComplexMatrix result (nr, nc); |
|
|
770 for (int j = 0; j < nc; j++) |
|
|
771 for (int i = 0; i < nr; i++) |
|
2305
|
772 result (i, j) = pow (a (i, j), b (i, j)); |
|
1
|
773 |
|
1567
|
774 return result; |
|
1
|
775 } |
|
|
776 |
|
|
777 /* |
|
|
778 ;;; Local Variables: *** |
|
|
779 ;;; mode: C++ *** |
|
|
780 ;;; End: *** |
|
|
781 */ |
